Question

if the if the ratio of mean and median for some observations is found to be 10 :13 then for the same observations the ratio of mode and median will be ​

Answer 1

The Ratio of the Mode and median is 19:39.

Step-by-step explanation:

It is given that,

Mean:Median = 10:13

We have to find,Mode:Median = ?

We know that for any given observation,

2Mean = [3Median-Mode]

Suppose,Mean = 10x,Median = 13x

Now,by putting these value in the formula,we will find the value of mode.

$2\times 10x=[3\times 13x-Mode]$

20x=39x-3Mode

3Mode = 39x-20x

3Mode = 19x

Mode=$\frac{19x}{3}$

Now,$\bold {Mode:Median = \frac{19x}{3}:13x}$

Hence,Mode:Median = 19:39